Question

If m < nqm = 2x+8 and m < pqr = x+22 find the value of x

Answer 1

The value of x is 14

Explanation:

see the attached figure to better understand the problem

we have that

m∠NQM=m∠PQR -----> given problem

substitute the given values and solve for x

`2x+8=x+22`

Group terms that contain the same variable and combine like terms

`2x-x=22-8\\x=14`